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Finding the Fourth Proportional to 13,198.15, 18,213.42 and 7,230.01

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Solution

The fourth proportional to 13,198.15, 18,213.42 and 7,230.01 is: 9,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.15 : 18,213.42 = 7,230.01 : x
  2. Step 2: Convert to fraction form
    13,198.15/18,213.42 = 7,230.01/x
  3. Step 3: Cross multiply
    13,198.15x = 18,213.42 × 7,230.01
  4. Step 4: Simplify right side
    13,198.15x = 131,683,208.73
  5. Step 5: Solve for x
    x = 131,683,208.73/13,198.15
  6. Step 6: Final answer
    x = 9,977.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.